51632351214400 has 126 divisors (see below), whose sum is σ = 139647641924630. Its totient is φ = 18775400371200.

The previous prime is 51632351214391. The next prime is 51632351214443. The reversal of 51632351214400 is 441215323615.

It can be written as a sum of positive squares in 3 ways, for example, as 15510616475904 + 36121734738496 = 3938352^2 + 6010136^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 51632351214400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 133154415 + ... + 133541614.

Almost surely, 2^{51632351214400} is an apocalyptic number.

51632351214400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51632351214400 is an abundant number, since it is smaller than the sum of its proper divisors (88015290710230).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51632351214400 is a wasteful number, since it uses less digits than its factorization.

51632351214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266696073 (or 266696047 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 51632351214400 in words is "fifty-one trillion, six hundred thirty-two billion, three hundred fifty-one million, two hundred fourteen thousand, four hundred".